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Finding the Third Proportional to 130,344.19 and 285,595.88

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Solution

The third proportional to 130,344.19 and 285,595.88 is: 625,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,344.19 : 285,595.88 = 285,595.88 : x
  2. Step 2: Convert to fraction form
    130,344.19/285,595.88 = 285,595.88/x
  3. Step 3: Cross multiply
    130,344.19x = 285,595.88 × 285,595.88
  4. Step 4: Simplify right side
    130,344.19x = 81,565,003,817.02
  5. Step 5: Solve for x
    x = 81,565,003,817.02/130,344.19
  6. Step 6: Final answer
    x = 625,766.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.